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Vesnalui [34]
3 years ago
8

find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

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12. Find three consecutive even integers such that
borishaifa [10]

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the smallest integer.

Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

(x)+2(x+1)=20+(x+2)

Combine like terms:

(x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

6 0
2 years ago
A team of 9 tennis players can order bags with their uniforms
jeka94

Answer:

C

Step-by-step explanation:

5 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistr
Mamont248 [21]
T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.


Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9


ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)
7 0
3 years ago
Three lizards eat 63 grams of food each day. How many grams of food would you expect 5 lizards to eat
zhenek [66]

Answer: 105 grams

Step-by-step equation: they each eat 21 grams a day

3 0
3 years ago
An animal shelter houses dogs, cats, and rabbits. there are 126 animals at the shelter. of the animals, 1/3 are cats. three four
viva [34]
Given that an animal shelter houses three kinds of animals: dogs, cats and rabbits and it has a total of 126 animals. 1/3 of the animals are cats. This means, 1/3 of 126 is 42. So there are 42 cats. 3/4 of the remaining animals, which is 84 are dogs. So 3/4 of 84 is 63. So there are 63 dogs. 63 dogs plus 42 cats is 105 animals. 126 minus 105 is 21. Therefore, there are only 21 rabbits. Hope this helps.
6 0
3 years ago
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